Question

Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in
on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
Classification
On-Campus Housing Off-Campus Housing
Freshman
1
4
Sophomore
2
0
Junior
1
2
Senior
2
0
Graduate Student
2
3
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Answer 1

Using it's concept, it is found that there is a $\frac{11}{17}$ probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.

Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:

$\frac{11}{17}$

More can be learned about probabilities at brainly.com/question/14398287